Sinossi
This book provides an elementary introduction to algebraic geometry. The reader is introduced to principal objects, methods and goals of the subject. Theory is developed concurrently with many examples and exercises enabling the student to better understand the subject matter. Prerequisites include some linear and multilinear algebra and a basic background in abstract algebra.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Recensione
J. Harris
Algebraic Geometry
A First Course
"This book succeeds brilliantly by concentrating on a number of core topics (the rational normal curve, Veronese and Segre maps, quadrics, projections, Grassmannians, scrolls, Fano varieties, etc.) and by treating them in a hugely rich and varied way. The author ensures that the reader will learn a large amount of classical material and perhaps more importantly, will also learn that there is no one approach to the subject. The essence lies in the range and interplay of possible approaches. The author is to be congratulated on a work of deep and enthusiastic scholarship."―MATHEMATICAL REVIEWS
Contenuti
I: Examples of Varieties and Maps.- Lecture 1 Affine and Projective Varieties.- Lecture 2 Regular Functions and Maps.- Lecture 3 Cones, Projections, and More About Products.- Lecture 4 Families and Parameter Spaces.- Lecture 5 Ideals of Varieties, Irreducible Decomposition, and the Nullstellensatz.- Lecture 6 Grassmannians and Related Varieties.- Lecture 7 Rational Functions and Rational Maps.- Lecture 8 More Examples.- Lecture 9 Determinantal Varieties.- Lecture 10 Algebraic Groups.- II: Attributes of Varieties.- Lecture 11 Definitions of Dimension and Elementary Examples.- Lecture 12 More Dimension Computations.- Lecture 13 Hilbert Polynomials.- Lecture 14 Smoothness and Tangent Spaces.- Lecture 15 Gauss Maps, Tangential and Dual Varieties.- Lecture 16 Tangent Spaces to Grassmannians.- Lecture 17 Further Topics Involving Smoothness and Tangent Spaces.- Lecture 18 Degree.- Lecture 19 Further Examples and Applications of Degree.- Lecture 20 Singular Points and Tangent Cones.- Lecture 21 Parameter Spaces and Moduli Spaces.- Lecture 22 Quadrics.- Hints for Selected Exercises.- References.
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
Altre edizioni note dello stesso titolo
Risultati della ricerca per Algebraic Geometry: A First Course: 133
Foto dell'editore
Algebraic Geometry (eng)
Print on DemandDa: Brook Bookstore On Demand, Napoli, NA, Italia
Valutazione del venditore 4 su 5 stelle
Condizione: new. Questo è un articolo print on demand. Codice articolo U9H0ZCI4AG
Compra nuovo
EUR 58,23
Spedizione EUR 6,80
Spedito da Italia a U.S.A.
Spedito da Italia a U.S.A.
Quantità: Più di 20 disponibili
Foto dell'editore
Algebraic Geometry: A First Course (Graduate Texts in Mathematics, 133)
Da: Rob the Book Man, Vancouver, WA, U.S.A.
Valutazione del venditore 4 su 5 stelle
Soft cover. Condizione: Fine. Trade paperback in fine condition. Codice articolo 26406
Compra usato
EUR 61,64
Spedizione EUR 6,00
Spedito in U.S.A.
Spedito in U.S.A.
Quantità: 1 disponibili
Immagini fornite dal venditore
Algebraic Geometry : A First Course
Da: GreatBookPrices, Columbia, MD, U.S.A.
Valutazione del venditore 5 su 5 stelle
Condizione: New. Codice articolo 11987324-n
Compra nuovo
EUR 66,20
Spedizione EUR 2,27
Spedito in U.S.A.
Spedito in U.S.A.
Quantità: Più di 20 disponibili
Foto dell'editore
Algebraic Geometry (Paperback)
Editore:
Springer-Verlag New York Inc., New York, NY, 2010
ISBN 10: 144193099X
ISBN 13: 9781441930996
Nuovo
Paperback
Prima edizione
Da: Grand Eagle Retail, Bensenville, IL, U.S.A.
Valutazione del venditore 5 su 5 stelle
Paperback. Condizione: new. Paperback. This book is based on one-semester courses given at Harvard in 1984, at Brown in 1985, and at Harvard in 1988. It is intended to be, as the title suggests, a first introduction to the subject. Even so, a few words are in order about the purposes of the book. Algebraic geometry has developed tremendously over the last century. During the 19th century, the subject was practiced on a relatively concrete, down-to-earth level; the main objects of study were projective varieties, and the techniques for the most part were grounded in geometric constructions. This approach flourished during the middle of the century and reached its culmination in the work of the Italian school around the end of the 19th and the beginning of the 20th centuries. Ultimately, the subject was pushed beyond the limits of its foundations: by the end of its period the Italian school had progressed to the point where the language and techniques of the subject could no longer serve to express or carry out the ideas of its best practitioners. This approach flourished during the middle of the century and reached its culmination in the work of the Italian school around the end of the 19th and the beginning of the 20th centuries. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Codice articolo 9781441930996
Compra nuovo
EUR 68,53
Spedizione gratuita
Spedito in U.S.A.
Spedito in U.S.A.
Quantità: 1 disponibili
Foto dell'editore
Algebraic Geometry: A First Course (Graduate Texts in Mathematics)
Da: California Books, Miami, FL, U.S.A.
Valutazione del venditore 4 su 5 stelle
Condizione: New. Codice articolo I-9781441930996
Compra nuovo
EUR 75,12
Spedizione gratuita
Spedito in U.S.A.
Spedito in U.S.A.
Quantità: Più di 20 disponibili
Immagini fornite dal venditore
Algebraic Geometry : A First Course
Da: GreatBookPrices, Columbia, MD, U.S.A.
Valutazione del venditore 5 su 5 stelle
Condizione: As New. Unread book in perfect condition. Codice articolo 11987324
Compra usato
EUR 75,35
Spedizione EUR 2,27
Spedito in U.S.A.
Spedito in U.S.A.
Quantità: Più di 20 disponibili
Foto dell'editore
Algebraic Geometry: A First Course (Graduate Texts in Mathematics)
Da: Ria Christie Collections, Uxbridge, Regno Unito
Valutazione del venditore 5 su 5 stelle
Condizione: New. In English. Codice articolo ria9781441930996_new
Compra nuovo
EUR 71,92
Spedizione EUR 13,81
Spedito da Regno Unito a U.S.A.
Spedito da Regno Unito a U.S.A.
Quantità: Più di 20 disponibili
Foto dell'editore
Algebraic Geometry : A First Course
Da: Chiron Media, Wallingford, Regno Unito
Valutazione del venditore 5 su 5 stelle
PF. Condizione: New. Codice articolo 6666-IUK-9781441930996
Compra nuovo
EUR 69,12
Spedizione EUR 17,85
Spedito da Regno Unito a U.S.A.
Spedito da Regno Unito a U.S.A.
Quantità: 10 disponibili
Immagini fornite dal venditore
Algebraic Geometry : A First Course
Da: GreatBookPricesUK, Woodford Green, Regno Unito
Valutazione del venditore 5 su 5 stelle
Condizione: New. Codice articolo 11987324-n
Compra nuovo
EUR 71,91
Spedizione EUR 17,29
Spedito da Regno Unito a U.S.A.
Spedito da Regno Unito a U.S.A.
Quantità: Più di 20 disponibili
Immagini fornite dal venditore
Algebraic Geometry
Editore:
Springer New York Dez 2010, 2010
ISBN 10: 144193099X
ISBN 13: 9781441930996
Nuovo
Taschenbuch
Da: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germania
Valutazione del venditore 5 su 5 stelle
Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -'This book succeeds brilliantly by concentrating on a number of core topics.and by treating them in a hugely rich and varied way. The author ensures that the reader will learn a large amount of classical material and perhaps more importantly, will also learn that there is no one approach to the subject. The essence lies in the range and interplay of possible approaches. The author is to be congratulated on a work of deep and enthusiastic scholarship.' --MATHEMATICAL REVIEWS 352 pp. Englisch. Codice articolo 9781441930996
Compra nuovo
EUR 69,54
Spedizione EUR 23,00
Spedito da Germania a U.S.A.
Spedito da Germania a U.S.A.
Quantità: 2 disponibili